{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import csv\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy.polynomial.polynomial as poly\n",
    "from scipy.interpolate import interp1d\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "map_x = []\n",
    "map_y = []\n",
    "map_s = []\n",
    "map_dx = []\n",
    "map_dy = []\n",
    "\n",
    "with open('./highway_map.csv', 'rb') as f:\n",
    "    reader = csv.reader(f)\n",
    "    for row in reader:\n",
    "        contents = row[0]\n",
    "        x, y, s, dx, dy = contents.split()\n",
    "        map_x.append(float(x))\n",
    "        map_y.append(float(y))\n",
    "        map_s.append(float(s))\n",
    "        map_dx.append(float(dx))\n",
    "        map_dy.append(float(dy))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 2500.0, 1000.0, 3000.0)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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8IcRv3PMlacditaDZ0YyMpAykDUpjKCMiIuqlg6UHMSZ2DHTCPyb5ujJiZgdw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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff4f8ef32d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(map_x[0], map_y[0], 'o')\n",
    "plt.plot(map_x, map_y, '.-')\n",
    "plt.axis('equal')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 2500.0, 1000.0, 3500.0)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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d3DLrvXz6mpsyPRwREckyixdX09DwOF3JQvJ73LS1VdLQ8DiLF1dnemhpoeAy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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff4c1461590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "polyfit_interval = 5\n",
    "n_polyfit = len(map_s) / polyfit_interval\n",
    "plt.figure(figsize=(9,9))\n",
    "plt.plot(map_x, map_y, 'o', alpha=0.4)\n",
    "\n",
    "for i in range(n_polyfit):\n",
    "    target_s = map_s[(i+1)*polyfit_interval-3:(i+2)*polyfit_interval+3]\n",
    "    target_x = map_x[(i+1)*polyfit_interval-3:(i+2)*polyfit_interval+3]\n",
    "    target_y = map_y[(i+1)*polyfit_interval-3:(i+2)*polyfit_interval+3]\n",
    "    \n",
    "    x_given_s = poly.polyfit(target_s, target_x, 3)\n",
    "    y_given_s = poly.polyfit(target_s, target_y, 3)\n",
    "    s_range = np.linspace(target_s[0], target_s[-1], 200)\n",
    "    x_fit = poly.polyval(s_range, x_given_s)\n",
    "    y_fit = poly.polyval(s_range, y_given_s)\n",
    "    plt.plot(x_fit, y_fit)\n",
    "    \n",
    "plt.axis('equal')\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/hayoung/.local/lib/python2.7/site-packages/ipykernel_launcher.py:1: RankWarning: The fit may be poorly conditioned\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n",
      "/home/hayoung/.local/lib/python2.7/site-packages/ipykernel_launcher.py:2: RankWarning: The fit may be poorly conditioned\n",
      "  \n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7ff4bf07a950>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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fYMsWE4rvvReGDDG3ezywJdNLbtjbPLP+N9T56nhw9IPMzJhJpCvS2eJFREQ6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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff4bf24bd10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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u17GIJDUFZmkmuqHstown2d2czbJlu2lv96uyTZJOdIXmzNyPUt+1hp2BR/U6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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff4befdbc10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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s4N88XIk6ZkAGcQrK5uZOVXNzo6qr39L+/Zt18cVDNWfOyWxjIq2FQmFVVFRr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\nERERiRNKzERERETihBIzERERkTjx3/DY+SQpCfaWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff4beff34d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_given_s = poly.polyfit(map_s, map_x, 21)\n",
    "y_given_s = poly.polyfit(map_s, map_y, 21)\n",
    "s_range = np.linspace(map_s[0], map_s[-1], num=1000)\n",
    "x_fit = poly.polyval(s_range, x_given_s)\n",
    "y_fit = poly.polyval(s_range, y_given_s)\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(map_x, map_y, '.-')\n",
    "plt.plot(x_fit, y_fit)\n",
    "plt.tight_layout()\n",
    "plt.axis('equal')\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(map_s, map_x, 'o', alpha=0.4)\n",
    "plt.plot(s_range, x_fit, '--')\n",
    "plt.title('map_x')\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(map_s, map_y, 'o', alpha=0.4)\n",
    "plt.plot(s_range, y_fit, '--')\n",
    "plt.title('map_y')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
